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The Resource Discretization Methods and Iterative Solvers Based on Domain Decomposition, by Barbara I. Wohlmuth, (electronic resource)

Discretization Methods and Iterative Solvers Based on Domain Decomposition, by Barbara I. Wohlmuth, (electronic resource)

Creator
Author
Summary
Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity
Language
  • eng
  • eng
Work
Publication
Edition
1st ed. 2001.
Extent
1 online resource (X, 199 p. 5 illus.)
Note
"With 82 Figures and 25 Tables."
Contents
  • Discretization Techniques Based on Domain Decomposition
  • 1.1 Introduction to Mortar Finite Element Methods
  • 1.2 Mortar Methods with Alternative Lagrange Multiplier Spaces
  • 1.3 Discretization Techniques Based on the Product Space
  • 1.4 Examples for Special Mortar Finite Element Discretizations
  • 1.5 Numerical Results
  • Iterative Solvers Based on Domain Decomposition
  • 2.1 Abstract Schwarz Theory
  • 2.2 Vector Field Discretizations
  • 2.3 A Multigrid Method for the Mortar Product Space Formulation
  • 2.4 A Dirichlet-Neumann Type Method
  • 2.5 A Multigrid Method for the Mortar Saddle Point Formulation
  • List of Figures
  • List of Tables
  • Notations
Isbn
9783642567674
Instance
Label
Discretization Methods and Iterative Solvers Based on Domain Decomposition
Title
Discretization Methods and Iterative Solvers Based on Domain Decomposition
Statement of responsibility
by Barbara I. Wohlmuth
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity
Member of
http://library.link/vocab/creatorName
Wohlmuth, Barbara I
Dewey number
519.4
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
QjiBqeCoqZ0
Image bit depth
0
Language note
English
LC call number
QA297-299.4
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Computational Science and Engineering,
Series volume
17
http://library.link/vocab/subjectName
  • Numerical analysis
  • Global analysis (Mathematics)
  • Computer science
  • Engineering
  • Numerical Analysis
  • Analysis
  • Computational Science and Engineering
  • Math Applications in Computer Science
  • Computational Intelligence
Label
Discretization Methods and Iterative Solvers Based on Domain Decomposition, by Barbara I. Wohlmuth, (electronic resource)
Instantiates
Publication
Note
"With 82 Figures and 25 Tables."
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Discretization Techniques Based on Domain Decomposition -- 1.1 Introduction to Mortar Finite Element Methods -- 1.2 Mortar Methods with Alternative Lagrange Multiplier Spaces -- 1.3 Discretization Techniques Based on the Product Space -- 1.4 Examples for Special Mortar Finite Element Discretizations -- 1.5 Numerical Results -- Iterative Solvers Based on Domain Decomposition -- 2.1 Abstract Schwarz Theory -- 2.2 Vector Field Discretizations -- 2.3 A Multigrid Method for the Mortar Product Space Formulation -- 2.4 A Dirichlet-Neumann Type Method -- 2.5 A Multigrid Method for the Mortar Saddle Point Formulation -- List of Figures -- List of Tables -- Notations
Dimensions
unknown
Edition
1st ed. 2001.
Extent
1 online resource (X, 199 p. 5 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642567674
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-56767-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000104068
  • (SSID)ssj0000805875
  • (PQKBManifestationID)11431502
  • (PQKBTitleCode)TC0000805875
  • (PQKBWorkID)10741194
  • (PQKB)11200098
  • (DE-He213)978-3-642-56767-4
  • (MiAaPQ)EBC3090309
  • (EXLCZ)993400000000104068
Label
Discretization Methods and Iterative Solvers Based on Domain Decomposition, by Barbara I. Wohlmuth, (electronic resource)
Publication
Note
"With 82 Figures and 25 Tables."
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Discretization Techniques Based on Domain Decomposition -- 1.1 Introduction to Mortar Finite Element Methods -- 1.2 Mortar Methods with Alternative Lagrange Multiplier Spaces -- 1.3 Discretization Techniques Based on the Product Space -- 1.4 Examples for Special Mortar Finite Element Discretizations -- 1.5 Numerical Results -- Iterative Solvers Based on Domain Decomposition -- 2.1 Abstract Schwarz Theory -- 2.2 Vector Field Discretizations -- 2.3 A Multigrid Method for the Mortar Product Space Formulation -- 2.4 A Dirichlet-Neumann Type Method -- 2.5 A Multigrid Method for the Mortar Saddle Point Formulation -- List of Figures -- List of Tables -- Notations
Dimensions
unknown
Edition
1st ed. 2001.
Extent
1 online resource (X, 199 p. 5 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642567674
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-56767-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000104068
  • (SSID)ssj0000805875
  • (PQKBManifestationID)11431502
  • (PQKBTitleCode)TC0000805875
  • (PQKBWorkID)10741194
  • (PQKB)11200098
  • (DE-He213)978-3-642-56767-4
  • (MiAaPQ)EBC3090309
  • (EXLCZ)993400000000104068

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